If two collinear vectors A and B are added, the resultant has a magnitude equal to 4.0. If B is subtracted from A , the resultant has a magnitude equal to 8.0. What is the magnitude of B?

Q: Three displacement vectors have lengths 1 m, 2 m, and 4 m. Could they possibly add together to get a…

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Q: The magnitudes of two vectors A → a n d B → are 12 units and 8 units, respectively. What are the…

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Q: Given the displacement vectors A = (7.00 î – 2.00 ĵ + 7.00 k) m and B = (8.00 î + 1.00 ĵ – 8.00 k)…

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Q: Three vectors á, b, and c, each have a magnitude of 53.0 m and lie in an xy plane. Their directions…

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Q: If a vector   has components Ax > 0, and Ay < 0, then the angle that this vector makes with the…

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Q: The components of a vector B&gt;satisfy Bx 7 0 and By 6 0.Is the direction angle of B&gt;between 0°…

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Q: Vectors A→A→ and B→B→ both have a magnitude of 8. If their resultant has a magnitude of 10, what is…

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Q: Vector V⃗ 1V→1 is 6.4 units long and points along the negative x axis. Vector V⃗ 2V→2 is 9.0 units…

A: Given: The vector V1 is 6.4 units long along -the x-axis. The vector V2is 9 units long at 60o with a…

Q: Given the two vectors A= 20.0 @ 30.0° and B= 17.0 @ 60.0°., What is A+ B in unit vector notation?

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Q: What are (a) the x component and (b) the y component of a vectora→in the xy plane if its direction…

A: Given:    Magnitude of vector = 9.4m                                          Direction = 185o…

Q: If vector A has components Ax = -3.0 lb and Ay= -4.0 lb, and vector %3D B has components Bx = 3.0 lb…

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Q: Find the angle between the following pair of vector: A= 3.00i + 5.00j and B= 10.00i + 6.00j

A: Given, A=3.00i+5.00jB=10.00i+6.00j

Q: If vector A=[24, 160degrees] and vector B=[30, 40degrees] then what is the magnitude of 2A+B?

A: The magnitude of 2A+B can be calculated in given steps.Given:

Q: Given the vector A = 100.00N at 30.00º above the negative x-axis. In terms of rectangular form, the…

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Q: A and B vectors S. may be defined to be equal if they have the same magnitude and point in the…

A: TWO VECTORS WILL BE EQUAL IF  1-There magnitude are equal, same length 2- there plane and direction…

Q: Let 0 be the angle that a vector to make with the x - axis and measured counter clockwise from that…

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Q: Consider the two vectors, A=17x+11.5y, B=4.5x-3.5y. What is the angle of the vector A-B, measured…

A: Vector A-B can be found out using A-B = (17-4.5)x +(11.5-(-3.5))y  A-B = (12.5)x+(15)y

Q: Vector B has magnitude 7.20 and direction 14.0° below the +x-axis. Vector C has x-component Cy=-2.10…

A: Vector addition and subtraction can be done directly by taking common i^ and j^ Vector inclination…

Q: Vector R has a magnitude of 36 units directed 120° from the +x-axis of a Cartesian Plane. What are…

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Q: The components of vector A'are given as follows: Ax = 10.5 Ay = 15.2. What is the magnitude of the…

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Q: Given the displacement vectors A = (7.00 i - 2.00 j + 7.00 k) m and B = (8.00 î + 1.00 j - 8.00 k)…

A: (a) 15.0665 m       (15.00) i + (-1.00) j + (-1.00) k (b) 23.345 m        (6) i + (-5) j + (22) k

Q: What is the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i + 3.00j?

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Q: Given vectors a=(4,8) and b=(-3,0) Find the magnitude of the resultant vector: T = 2 a + 36

A: Represent the vectors a and b in their resolved component.

Q: The vector A has a components +5 and +7 along x and y axes respectively. If the vector is now…

A: SOlution: given that  vector A has a components +5 and +7 along x and y axes If the vector is now…

Q: Vector A has a magnitude of 6 units, vector B has a magnitude of 7 units, A dot B has a value of 14.…

A: Given data The magnitude of vector A is given as A=6 units. The magnitude of the vector B is given…

Q: Vector A has a magnitude 6 units and is in the direction of the +x axis. Vector B has magnitude 4…

A: The value of vector A is A→=6 i^ , while vector B has both vertical and horizontal components ,…

Q: Vector A&gt;has a magnitude of 50 units and points in the positivex direction. A second vector,…

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Q: Vector A has components Ax = -15.0 and A, -4.01. What is the magnitude of this vector? Find the…

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Q: Vector C has a magnitude of 24.6 m and points in the -y-direction. Vectors A and B both have…

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Q: Vector A is 3 units in length and points along the positive x-axis; vector B is 4 units in length…

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Q: What's the resultant displacement vector C=A+B as a magnitude and direction? Given 2 vectors:…

A: Given: The vectors, A = 4.00i + 7.00j B = 5.00i - 3.00j

Q: Three vectors (A, B, and C) are shown in the vector diagram below. The magnitude of vector A is 60.0…

A: A→ = 60 i^ NB→ = 85 [ -Sin25oi^ + cos 25oj^] NB→ = -35.9 i^ + 77 j^  NC→ = 105 [ -Cos35oi^…

Q: The magnitude of vector A is 5.5. Vector A lies in the second quadrant and forms an angle of 34…

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Q: What are the components of the following Vector?  D = 30.0 km @ 70.0 degrees below +x-axis

A: Given: The vector has magnitude D = 30 km. Angle with +x axis = 70 degree clockwise direction.

Q: Given vectors a=(10,-9) and b=(0,-5) Find the magnitude of the resultant vector: T = 3 a + 26

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Q: Given vectors a=(9,-6) and b=(3,-2) Find the magnitude of the resultant vector: T = 3à +26

A: Given  a=(9,-6) b=(3,-2) r=3a+2b (where r, a and b are vectors)

Q: A vector has magnitude 12.7. Rounding off, which pair of components could not produce this vector? O…

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Q: Given the 3-dimensional vectors : A = i (xy) + j (2yz) + k (3zx) B = i (yz) + j (2zx) + k (3xy).…

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Q: If we have two vector A=6 B=10 And the angle between them 30 What is the magnitude of the two…

A: Given values:- A=6 ----(1) B=10 ----(2) θ=30 0 ------(3) Let us consider the magnitude of the two…

Q: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

A: For vector addition, we resolve each vector into horizontal and vertical components and then add…

Q: Suppose instead the superhero leaps in the other direction along a displacement vector B to the top…

A: Given data: X-component of the displacement vector is, Bx = -25 m Y-component of the displacement…

Q: If a vector 2i^+3j^−4k^ is perpendicular to the vector 3i^+j^+αk^, then the value of α is

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Q: Two vectors vector A and vector B have precisely equal magnitudes. In order for the magnitude of…

A: Magnitude of A + B is 110 times the magnitude of A – B. Therefore,

Q: The minimum number of Non zero non collinear vectors required to produce a zero vector is A) 3 B) 2…

A: If the two vectors of same magnitude and opposite in direction, the resultant of these two is zero.

Q: 4. Vectors A and B have magnitudes of 3 units and 4 units, respectively. What is the angle between…

A: The dot product of two vectors is:

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.